Higher order cumulants of transverse momentum and harmonic flow in relativistic heavy ion collisions

Abstract

Higher order symmetric cumulants of global collective observables in heavy ion collisions are studied. The symmetric cumulants can be straightforwardly constructed for scalar observables: the average transverse momentum, the multiplicity, and the squares of harmonic flow vectors. Third and fourth order cumulants are calculated in the hydrodynamic model. A linear predictor of the average transverse momentum and harmonic flow coefficients in a collision is used to predict the value of the cumulants from the moments of the initial distribution. The symmetric cumulants divided by the averages (or the standard deviations) of the considered observables can be used as a fine tool to study correlations present in the initial state of the collision.

References in corpus (10)

• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Alternative ansatz to wounded nucleon and binary collision scaling in high-energy nuclear collisions
• Transverse momentum fluctuations and their correlation with elliptic flow in nuclear collision
• Transverse-momentum fluctuations in relativistic heavy-ion collisions from event-by-event viscous hydrodynamics
• Constraining the quadrupole deformation of atomic nuclei with relativistic nuclear collisions
• Observable signatures of initial state momentum anisotropies in nuclear collisions
• Correlation between mean transverse momentum and anisotropic flow in heavy-ion collisions
• Correlation coefficient between harmonic and transverse flow in heavy-ion collisions
• Generic algorithm for multi-particle cumulants of azimuthal correlations in high energy nucleus collisions
• Separation of flow from chiral magnetic effect in U+U collisions using spectator asymmetry

Cited by in corpus (7)

• Constraining the nucleon size with relativistic nuclear collisions
• Influence of nuclear structure in relativistic heavy-ion collisions
• Model investigations of the correlation between the mean transverse momentum and anisotropic flow in shape-engineered events
• Observation of flow angle and flow magnitude fluctuations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV at the CERN Large Hadron Collider
• Model study of the energy dependence of the correlation between anisotropic flow and the mean transverse momentum in Au+Au collisions
• Effect of transverse momentum conservation and flow on symmetric cumulants $s{c}_{2,3}\left\{4\right\}$ and $s{c}_{2,3,4}\left\{6\right\}$
• Beam-energy dependence of correlations between mean transverse momentum and anisotropic flow of charged particles in Au+Au collisions at RHIC